+129852 1. ( x + 2) ( - x^2 + 2x - 6) =
-x^3 + 2x^2 - 6x - 2x^2 + 4x - 12 =
-x^3 - 2x - 12
2.
2x^2 + 4x + 11
x - 2 [ 2x^3 + 0x^2 + 3x - 2 ]
2x^3 - 4x^2
_________________________
4x^2 + 3x
4x^2 - 8x
_____________________
11x - 2
11x - 22
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20 second answer
3. f(x) = 3^x - 1
y = 3^x - 1
y + 1 = 3^x take the log of both sides
log (y + 1) = log 3^x and we can write
log ( y + 1) = x * log 3 divide both sides by log 3
log (y + 1) / log 3 = x "swap" x and y
log(x + 1) / log 3 = y
By the change-of-base rule we can write the left side as
log 3 (x + 1) = the inverse { last answer }
4. arcsin [ -sqrt (2) / 2] = - pi/4
5. 9i (2 + 3i) = 18i + 27i^2 = 18i + 27(-1) = -27 + 18i
